The Nonautonomous Linear Oskolkov Model on a Geometrical Graph: The Stability of Solutions and the Optimal Control Problem

DOI10.1007/978-3-319-12145-1_16zbMath1331.47091OpenAlexW2150007502MaRDI QIDQ3460766

Minzilia A. Sagadeeva, Georgiĭ Anatol'evich Sviridyuk

Publication date: 8 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12145-1_16

zbMATH Keywords

Showalter-Sidorov problemSobolev type equationsresolving operator group with kernelrespectively bounded operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transportation, logistics and supply chain management (90B06) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (7)

Numerical Solution for Non-Stationary Linearized Hoff Equation Defined on Geometrical Graph ⋮ Feedback optimal control problem for a network model of viscous fluid flows ⋮ Semilinear Sobolev Type Mathematical Models ⋮ The Non-Classical Models of Mathematical Physics the Multipoint Initial-Final Value Condition ⋮ Optimal Control of Solutions to the Initial-Final Problem for the Sobolev Type Equation of Higher Order ⋮ Optimal boundary control of the Boussinesq approximation for polymeric fluids ⋮ Mathematical Bases of Optimal Measurements Theory in Nonstationary Case

Cites Work

• Optimal control of the solutions of the initial-finish problem for the linear Hoff model
• Dirichlet forms for singular one-dimensional operators and on graphs
• The Showalter-Sidorov problem as a phenomena of the Sobolev-type equations
• On the stability of solutions of the Oskolkov equations on a graph
• Some nonstationary linear and quasilinear systems occuring in the investigation of the motion of viscous fluids
• Nonlocal problems for one class of nonlinear operator equations that arise in the theory of Sobolev type equations
• Operator theory. Nonclassical problems
• Optimal control of solutions of the Showalter-Sidorov-Dirichlet problem for the Boussinesq-Love equation
• Numerical solution of the optimal measurement problem
• Semigroup methods for evolution equations on networks
• Linear Sobolev type equations and degenerate semigroups of operators
• Blow-up in Nonlinear Sobolev Type Equations
• The sobolev equation, i
• Quantum graphs: I. Some basic structures
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